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Finding the Fourth Proportional to 3,931.80, 5,898.78 and 3,112.80

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Solution

The fourth proportional to 3,931.80, 5,898.78 and 3,112.80 is: 4,670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.80 : 5,898.78 = 3,112.80 : x
  2. Step 2: Convert to fraction form
    3,931.80/5,898.78 = 3,112.80/x
  3. Step 3: Cross multiply
    3,931.80x = 5,898.78 × 3,112.80
  4. Step 4: Simplify right side
    3,931.80x = 18,361,722.38
  5. Step 5: Solve for x
    x = 18,361,722.38/3,931.80
  6. Step 6: Final answer
    x = 4,670.06

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